Home
Class 12
MATHS
lim(x rarr 0) (sin x + log (1-x))/(x^(2)...

`lim_(x rarr 0) (sin x + log (1-x))/(x^(2))` is :

A

0

B

`(1)/(2)`

C

`-(1)/(2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|11 Videos

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos

  • LIMIT AND CONTINUITY

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos

  • MATHEMATICAL REASONING

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 0) 2/x log (1+x) =

lim_(x rarr 0) (sin x^(o) )/x=

lim_(x rarr 0) (cos 9x - cos 7x )/(x^(2)) =

lim_(x rarr 0) (|sin x|)/x is

lim_(x rarr 0) (sin (pi cos^(2)x))/(x^(2)) is equal to :

lim_(x rarr 0) (log (1+x))/(3^(x) - 1)=

lim_(x rarr 0) (cosec x - cot x)/x is

lim_(x rarr 0) (e^(x) + e^(-x) -2)/x^(2)=

lim_(x rarr 0) (sin (pi cos ^(2) x))/(x^(2)) equals :

lim_(x rarr 0) (sin^(2)(x/4))/(x^(2)) =

MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
  1. lim(x rarr 0) (sin x + log (1-x))/(x^(2)) is :

    Text Solution

    |

  2. lim(x rarr oo) ((2 + x)^(40) (4 + x)^(5))/((2-x)^(45)) is :

    Text Solution

    |

  3. lim(h rarr 0) ([2 sqrt(3) sin ((pi)/(6) + h) - cos ((pi)/(6) + h)])/(s...

    Text Solution

    |

  4. lim(x rarr 0) phi (x) = a^(3), a ne 0, then lim(x rarr 0) phi ((x)/(a)...

    Text Solution

    |

  5. lim(x rarr 2^(+)) (([x]^(3))/(3) - [(x)/(3)]^(3)) equals :

    Text Solution

    |

  6. Let f(x) = x (-1)^([1//x]), x ne 0, where [x] denotes the greatest int...

    Text Solution

    |

  7. lim(h rarr 0) (tan (a + 2h) - 2 tan (a + h) + tan a)/(h^(2)) is :

    Text Solution

    |

  8. If f(x) = [((sin [x])/([x]), [x] ne 0),(0, [x] = 0)], then lim(x rarr ...

    Text Solution

    |

  9. lim(n rarr oo) ((2)/(3) + ((2)/(3))^(2) + ((2)/(3))^(3) + ……. + ((2)/(...

    Text Solution

    |

  10. lim(x rarr oo) (e^(x^(2)) - cos x)/(x^(2)) is equal to :

    Text Solution

    |

  11. lim(x rarr 0) (log (1 + x + x^(2))+ log (1 - x - x^(2)))/(sec x - cos ...

    Text Solution

    |

  12. The value of lim(n rarr oo) cos ((x)/(2)) cos ((x)/(4))cos ((x)/(8))…....

    Text Solution

    |

  13. lim(x rarr 0) (log(sec x//2) cos x)/(log(sec x)cos x//2) is equal to :

    Text Solution

    |

  14. The value of lim(x rarr 1) ((x^(3) + 2x^(2) + x + 1)/(x^(2) + 2x + 3))...

    Text Solution

    |

  15. If f(x) = (2)/(x-3), g(x) = (x-3)/(x+4) and h (x) = (-2(2x + 1))/(x^(2...

    Text Solution

    |

  16. lim(x rarr oo) ( sqrt(x + sqrt(x + sqrt(x))) - sqrt(x)) is equal to :

    Text Solution

    |

  17. The value of lim(x rarr oo) {(x^(2)sin ((1)/(x))-x)/(1-|x|)} is :

    Text Solution

    |

  18. lim(x rarr 0) [int(y)^(a) e^(sin^(2)t) dt - int(x + y)^(a) e^(sin^(2)t...

    Text Solution

    |

  19. If sum(r = 1)^(k) cos^(-1) beta r = (kpi)/(2), "for any k" ge 1 and A ...

    Text Solution

    |

  20. The value of lim(x rarr 0) (int(0)^(x^(2))cos t^(2)dt)/(x sin x) is :

    Text Solution

    |